Where is the centroid of AABC? • Locate the midpoints of any two sides. • Find the equations of two medians using the vertex and the opposite endpoint. • Solve the system of the two equations to find the coordinates of the centroid. How can you verify that the coordinates for the centroid are correct? Ay A10,5) B(4,2) The centroid is

Q: Find an equation of the plane. The plane through the origin and the points (1, -3, 6) and (8, 4, 1)

A:

Q: Prove that the 3 points are collinear using victor solution. Point A (2,5) Point B (6,10) Point C…

A: Given points are A(2,5), B(6,10) and C(18, 30) We have to prove A(2,5), B(6,10) and C(18, 30) are…

Q: 19. Locate the points in space of the 3-D coordinate system. 0 -2 2 -3 3 1 -1

A:

Q: Find the area of the parallelogram whose vertices are (1, 1), (6,6), and (3, 4).

A:

Q: Find the volume of the parallelepiped with one vertex at the point (-1,-1,-1) and adjacent vertices…

A:

Q: ABCD is a rectangle with A located at the point (1, 3) and B located at the point (3, 8). a) Find…

A: Given that: ABCD is a rectangle and the coordinate of A is (1,3) and the coordinate of B is (3,8).…

Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Given a cube is located such that its bottom four corners have the coordinates (-4,-5,-1),…

Q: 4. Three vertices of a parallelogram are (1,3), (0,0) and (4,0). Find the possible location of the…

A: Given : The three vertices of the parallelogram A1,3,B0,0 and C4,0. To find : The possible location…

Q: Find an equation of the plane passing through the three points given P = (2,4, 2), Q = (4, 10, 10),…

A:

Q: Refer to the figure. a b In a three-dimensional coordinate system the three mutually perpendicular…

A:

Q: Ma + 86-2c+3d =0 2a + 36 - C+2d= 0 7a - b+c- 3d=0 4a - 11b+ Sc 12d-0 find the solutaion set of the…

A: Solving of system of linear equation we have

Q: For the system of two equations: 2x + y = 1 -2x - y = 0 Find a solution using the projective plane…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Find an equation of the plane. The plane through the points (0, 7, 7), (7, 0, 7), and (7, 7, 0)

A: Given:Plane passing through points 0,7,7 7,0,7 and 7,7,0To find; equation plane passing through…

Q: Rectangle abc has vertices a (4,5) b (0,2) c(6,-6). What are coordinates of vertex D

A: Let D=(x,y) We know that, for a rectangle, the diagonals bisect each other.  That means the midpoint…

Q: Find an equation of the plane. The plane through the origin and the points (2, -1, 5) and (9, 3, 2)

A:

Q: 1. form: Solve the system of equations. Put your solutions, if there is one, in parametric X1 -X1…

A: system of equation is given we have to solve it. this is question of algebra further calculation is…